Biography:Richard M. Pollack
Richard M. Pollack | |
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| Born | January 25, 1935 New York City, New York, U.S. |
| Died | September 18, 2018 (aged 83) Montclair, New Jersey, U.S. |
| Alma mater | Brooklyn College New York University |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Courant Institute of Mathematical Sciences, New York |
| Doctoral advisor | Harold N. Shapiro[1] |
Richard M. Pollack (January 25, 1935 – September 18, 2018[2][3]) was an American geometer who spent most of his career at the Courant Institute of Mathematical Sciences at New York University, where he was Professor Emeritus until his death.
Contributions
In combinatorics, Pollack published several papers with Paul Erdős and János Pach.[4][5][6][7]
Pollack also published papers in discrete geometry.[8][9][10][11][12][13][14][15][16][17][18] His work with Jacob E. Goodman includes the first nontrivial bounds on the number of order types and polytopes,[8] and a generalization of the Hadwiger transversal theorem to higher dimensions.[9] He and Goodman were the founding editors of the journal Discrete & Computational Geometry.[19]
In real algebraic geometry, Pollack wrote a series of papers with Saugata Basu and Marie-Françoise Roy,[13][14][15][16] as well as a book.[20]
Awards and honors
In 2003, a collection of original research papers in discrete and computational geometry entitled Discrete and Computational Geometry: The Goodman–Pollack Festschrift was published as a tribute to Jacob E. Goodman and Richard Pollack on the occasion of their 2/3 × 100 birthdays.[21]
In 2012, he became a fellow of the American Mathematical Society.[22]
A special memorial 556-page issue of Discrete & Computational Geometry for Pollack was published in October 2020.[23]
References
- ↑ Richard M. Pollack at the Mathematics Genealogy Project
- ↑ "Richard M. Pollack". https://proutfuneralhome.com/obituary/richard-m-pollack-phd/. Retrieved November 17, 2021.
- ↑ "Ricky Pollack", sent by Joseph S. B. Mitchell on behalf of the Computational Geometry steering committee to the compgeom-announce mailing list, September 19, 2018
- ↑ Erdős, Paul; Pach, János; Pollack, Richard; Tuza, Zsolt (1989), "Radius, diameter, and minimum degree", Journal of Combinatorial Theory, Series B 47: 73–79, doi:10.1016/0095-8956(89)90066-x
- ↑ de Fraysseix, Hubert; Pach, János; Pollack, Richard (1990), "How to draw a planar graph on a grid", Combinatorica 10: 41–51, doi:10.1007/BF02122694
- ↑ Pach, János; Pollack, Richard; Welzl, Emo (1993), "Weaving patterns of lines and line segments in space", Algorithmica 9 (6): 561–571, doi:10.1007/bf01190155
- ↑ Agarwal K., Pankaj; Aronov, Boris; Pach, János; Pollack, Richard; Sharir, Micha (1997), "Quasi-planar graphs have a linear number of edges", Combinatorica 17: 1–9, doi:10.1007/bf01196127
- ↑ 8.0 8.1 Goodman, Jacob E.; Pollack, Richard (1986), "There are asymptotically far fewer polytopes than we thought", Bulletin of the American Mathematical Society 46: 127–129, doi:10.1090/s0273-0979-1986-15415-7
- ↑ 9.0 9.1 "Hadwiger's transversal theorem in higher dimensions", Journal of the American Mathematical Society 1 (2): 301–309, 1988, doi:10.1090/S0894-0347-1988-0928260-1
- ↑ "Multidimensional sorting", SIAM Journal on Computing 12 (3): 484–507, 1983, doi:10.1137/0212032
- ↑ Goodman, Jacob E.; Pollack, Richard (1984), "Semispaces of configurations, cell complexes of arrangements", Journal of Combinatorial Theory, Series A 37 (3): 257–293, doi:10.1016/0097-3165(84)90050-5
- ↑ Goodman, Jacob E.; Pollack, Richard (1995), "Foundations of a theory of convexity on affine Grassmann manifolds", Mathematika 42 (2): 305–328, doi:10.1112/s0025579300014613
- ↑ 13.0 13.1 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise (1996), "On the number of cells defined by a family of polynomials on a variety", Mathematika 43: 120–126, doi:10.1112/s0025579300011621
- ↑ 14.0 14.1 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise (1996), "On the combinatorial and algebraic complexity of quantifier elimination", Journal of the ACM 43 (6): 1002–1045, doi:10.1145/235809.235813
- ↑ 15.0 15.1 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise (2000), "Computing roadmaps of semi-algebraic sets on a variety", Journal of the American Mathematical Society 13: 55–82, doi:10.1090/S0894-0347-99-00311-2
- ↑ 16.0 16.1 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise (2009), "An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions", Combinatorica 29 (5): 523–546, doi:10.1007/s00493-009-2357-x
- ↑ Goodman, Jacob E.; Pollack, Richard; Sturmfels, Bernd (1990), "The intrinsic spread of a configuration in R^d", Journal of the American Mathematical Society 3 (3): 639–651, doi:10.1090/s0894-0347-1990-1046181-2
- ↑ Cappell, Sylvain; Goodman, Jacob E.; Pach, János; Pollack, Richard; Sharir, Micha; Wenger, Rephael (1994), "Common tangents and common transversals", Advances in Mathematics 106 (2): 198–215, doi:10.1006/aima.1994.1056
- ↑ "Discrete & Computational Geometry". Springer Science+Business Media. https://www.springer.com/journal/454/editors. Retrieved November 17, 2021.
- ↑ Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise (2003), Algorithms in Real Algebraic Geometry, Algorithms and Computation in Mathematics, 10, Springer-Verlag
- ↑ Discrete and Computational Geometry: The Goodman-Pollack Festschrift. Algorithms and Combinatorics. Springer. 2003. ISBN 9783540003717. https://www.springer.com/mathematics/geometry/book/978-3-540-00371-7.
- ↑ List of Fellows of the American Mathematical Society, retrieved 2013-05-26.
- ↑ "Discrete & Computational Geometry | Volume 64, issue 3" (in en). https://link.springer.com/journal/454/volumes-and-issues/64-3.
- Pollack, Richard (1962), Some Tauberian theorems in elementary prime number theory (Ph.D. Thesis), New York University.
- Surveys on Discrete and Computational Geometry: Twenty Years Later, Contemporary Mathematics, 453, American Mathematical Society, 2008.
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